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A new look at rank tests in ordered-2×k contingency tables
Authors:Thomas Permutt  Vance W Berger
Institution:U.S. Food and Drug Administration , Rockville, Maryland, 20857, U.S.A
Abstract:We consider testing for association in contingency tables with 2 rows and k columns, where the columns represent ordered categories. If the rows are treatments and the columns are outcomes, this may be treated as a two-sample problem with all the outcomes tied at one of only k values. Then rank tests may be applied even without knowing the values. Some special considerations apply, however, and the most usual rank tests may not be the best ones. We use a graphical technique to compare the properties of various rank tests.
Keywords:van der Waerden test  maximum chi-square  operating characteristic  P-P plot  stochastic order
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